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Topologically non-degenerate functions on a compactn-manifoldM

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References

  1. Morse, M., A positive, lower semi-continuous non-degenerate function on a metric space,Fundamenta Mathematicae. vol. 35 (1948), pp. 47–78.

    MATH  MathSciNet  Google Scholar 

  2. Morse, M., The existence of polar non-degenerate functions on differentiable manifolds,Annals of Mathematics, vol. 71 (1960). To be published.

  3. Morse, M., Introduction to Analysis in the Large, Lectures, 1947, Institute for Advanced Study, Princeton, N. J.

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  4. Morse, M., The existence of non-degenerate functions on a differentiable manifold,Annali di Matematica (1960). To be published.

  5. Moise, E. E., Affine structures in 3-manifolds, V. The triangulation theorem and Hauptvermutung,Annals of Mathematics, Vol. 56 (1952), pp. 96–114.

    Article  MathSciNet  Google Scholar 

  6. Cairns, S. S., Triangulated manifolds and differentiable manifolds. Lectures in topology, University of Michigan Conference, 1940, University of Michigan Press, 1941.

  7. Eilenberg, S., Singular homology theory,Annals of Mathematics, Vol. 45 (1944), pp. 407–449.

    Article  MathSciNet  Google Scholar 

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Morse, M. Topologically non-degenerate functions on a compactn-manifoldM . J. Anal. Math. 7, 189–208 (1959). https://doi.org/10.1007/BF02787685

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